Maharashtra State Board 9th Standard Algebra Syllabus - Free PDF Download
Maharashtra State Board Syllabus 2025-26 9th Standard: The Maharashtra State Board 9th Standard Algebra Syllabus for the examination year 2025-26 has been released by the MSBSHSE, Maharashtra State Board. The board will hold the final examination at the end of the year following the annual assessment scheme, which has led to the release of the syllabus. The 2025-26 Maharashtra State Board 9th Standard Algebra Board Exam will entirely be based on the most recent syllabus. Therefore, students must thoroughly understand the new Maharashtra State Board syllabus to prepare for their annual exam properly.
The detailed Maharashtra State Board 9th Standard Algebra Syllabus for 2025-26 is below.
Academic year:
Maharashtra State Board 9th Standard Algebra Revised Syllabus
Maharashtra State Board 9th Standard Algebra Course Structure 2025-26 With Marking Scheme
| # | Unit/Topic | Weightage |
|---|---|---|
| 1 | Sets | |
| 2 | Real Numbers | |
| 3 | Polynomials | |
| 4 | Ratio and Proportion | |
| 5 | Linear Equations in Two Variables | |
| 6 | Financial Planning | |
| 7 | Statistics | |
| Total | - |
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Syllabus
1 Sets
- Concept of Sets
- Introduction
- Definition: Sets
- Well-defined and Not Well-defined Sets
- Elements of a Set and Notation
- Properties of Sets
- Examples
- Real-Life Applications
- Key Points Summary
- Methods of Writing Sets
- Classification of Sets
- Venn Diagrams
- Subset
- Universal Set
- Complement of a Set
- De Morgan's Law
- Some Properties of Complement Sets
- Fundamental Concepts of Ordered Pairs and Relations
- Intersection of Sets
- Intersection of sets
- Some Properties of Operation of Intersection
- Union of Sets
- Union of sets
- Some Properties of the Operation of Union
- Intersection of Sets
- Types of Sets
- Introduction
- Exploring Different Types of Sets
- Real-Life Applications
- Key Points Summary
- Word Problems Based on Sets
2 Real Numbers
- Rational Numbers
- Properties of Rational Numbers
- Decimal Representation of Rational Numbers
- Concept of Real Numbers
- Decimal Representation to Identify Irrational Numbers
- Square Root of Decimal Numbers
- Properties of Order Relation on Real Numbers
- Square Root of a Negative Number
- Root of Positive Rational Number
- Surds
- Simplification of Surds
- Types of Surds
- Similar or like surds
- Pure Surds
- Similar Surds
- Mixed Surds
- Compound Surds
- Binomial Surds
- Comparison of Surds
- Operations on Surds
- Rationalisation of Surds
- Binomial Quadratic Surd
- Simplifying an Expression by Rationalization of the Denominator
- Absolute Value of Real Numbers
3 Polynomials
- Basic Concept of Polynomial and its Degree
- Introduction
- Definition: Polynomial in One Variable
- Definition: Degree
- Definition: Polynomials of Two or More Variables
- Real-Life Application
- Key Points Summary
- Types of Polynomials
- Types of polynomials (based on number of terms):
- Monomial
- Binomial
- Trinomial
- Types of the polynomial (based on the degree):
- Linear polynomial
- Quadratic polynomial
- Cubic polynomial
- Degree of Polynomial
- Polynomial in one variable
- Polynomial in more than one variable
- Function and Polynomial
- Division Algorithm
- Important Identities
- Operations on Polynomials
- Synthetic Division
- Zeroes of a Polynomial
- Remainder Theorem
- Factor Theorem
- Factorisation of Polynomials
4 Ratio and Proportion
- Concept of Direct Proportion
- Concept of Inverse Proportion
- Properties of Ratio
- Comparison of Ratios
- Operations on Equal Ratios
- Invertendo
- Alternando
- Componendo
- Dividendo
- Componendo-Dividendo
- Application of Properties of Equal Ratios
- Theorem on Equal Ratios
- k Method for Equal Ratios
5 Linear Equations in Two Variables
- Pair of Linear Equations in Two Variables
- Algebraic Methods of Solving a Pair of Linear Equations
- Linear Inequations in Two Variables
- Convex Sets
- Graphical representation of linear inequations in two variables
- Graphical solution of linear inequation
- Application of Linear Equation in Two Variables
6 Financial Planning
- Introduction of Financial Planning
- Saving and Investment
- Levying of Taxes Or Taxation
- Income Tax
- Computation of Income Tax
7 Statistics
- Concept of Graph
- Definition: Graph
- Graph Paper
- X-axis and Y-axis
- Use of Scale
- Concept of Double Bar Graph
- Subdivided Bar Graph
- Percentage Bar Graph
- Concepts of Statistics
- Mathematical Data Collection and Organisation
- Introduction
- Definition: Data
- Definition: Raw Data
- Organising Data
- Example 1
- Example 2
- Example 3
- Key Points Summary
- Frequency Distribution Table
- Ungrouped Frequency Distribution Table
- Grouped Frequency Distribution Table
- Cumulative Frequency and Cumulative Frequency Table
- Measures of Central Tendency for Different Data Types
- Introduction
- Measures
- Arithmetic Mean
- Basic Concept of Median
- Definition: Median
- Formula: Odd Number of Observations
- Formula: Even Number of Observations
- Example 1
- Example 2
- Example 3
- Key Points Summary
- Basic Concept of Mode
